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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004815104461 3,715 digits created 2023-10-24

Value

3470021352372322538304926363888170053892442365654279971789072092808415294002946875555373377006271883539094643344685021900625427640070705254171211157605025038507020389844106887749651390113735287490174702744086660576375208386715510354181779500754465160584168915583986525833819323039124111029112114411736900945802325472511689214478695973040706881303150307349487068562023928187838379986848474135136299924155367370941873896675148427311375821305669571780911053847274727046042337344846859951485316787293158855664240069934759752886733341536227717994250824859728467974202553490726835714115149894380169529164723133969118616647354111785056550344518140599212983878357379632912842153566721904527117499422845678230674936337504032939933082631759705469952931074249288243436446163505751542263020990513687791814082772439120675385277567428995246148823290387441614967246371069185560988368463423767655931041075246525035212333994314144069667971654676034826870469094070485823728903965143566799594402197619730949859399533115662765115521001276614585650092638650842569929639752150287849574359938468232196376583626269720317859786426556645127569928630450625817363516169302126983893305678249371560015068911414169424513800129064180462812145783088796315463681502476219342623346270230222567725085501357984914542637974430408833110348362986156086506699426199378357733649216286846050855274003701825531736311777268316125645455010244111188577658422305470934133284926579615563030191359273350977482706237145509905094596423944088833270221745555564428230548343977738500066907158555608695071142583395763856747268490452361196968516543041816692986394835617496518372073679298155499764801050115993452957797252291779469192150550708362895846616649565994307986827323631432545933322145326799622536075177780206546358748579755665084169800973250459010986569402103108436229570872448339918205068790908252032506387057324865620706695228496226634781115719183673252318577607844270697827770277713540747975592873646900234281686703363906977023440593370051275617956691809726536520070880620357195197782841766467283121613306818633199814124731611204418561771079982760144599085740946682361646457195198030166972666782549598122660512342778524558107665711642265153906892026333736595936806961151925072249467213420486184040992277215574549153706975352165034210941060013520399585077451134138761883552137270550514450728720867213024544337658070087203652472496067141368133092125735068221073719784909111126940913692971511400726376777792816174961357411229312332791981849024668410202837210659876164508154116768913768643623060216721050299454026102729863003756498857281093860032900822686338609605290420523523842397051644467350593622548226697966275785770423391104052811743732836708571421387603316439197069959994124750066625502805651188619918271366754475501999244663242275207881380943826722096047589349607945682597740182648007942431776449061021906393598257000076127123311685120105936655799389100410166491871313522372415813784949323525102903445733050982474604793717051329803216575606437190847810678831953110278258732756978393139735572575370846970907805543766149658661210669998523280880904549867240140938408129164719199524808834919095115983032559302852567358456658901740315679077692792276523821520062639611816396624938286945587650394170780841118220825606463594946693213871375253336979686537001193983800673319323286435537381939389132476524679899022871621047339618219896265028091879873187234983080677327249093198013992715049461877514641385477814494885776619290191890040260538644899444725260231810425796675480136676783917961866246263953921296980010535838814796659271546185805918514798043289088534590082164170531150995076515278599873893428740751673645262391413077410936616231805886344741247685264292294009
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 172 of the certificate chain of a 5,517-digit prime (557 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 172 of 557

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815104461 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004815104461},"decimal":true,"detail":2}}'